Open this document in the playground · Download source
Exactly this outcome, or this good or better?
Part C · L10 · Prerequisite: L09 · One modelling idea
Situation, question, and prediction
Revisit Defy Danger without learning another game. Is the chance of receiving the middle-band offer the same as the chance of rolling at least 7? Predict which question includes more results.
Build
On named outcomes, .pmf(label) means exactly that label. .p_at_least(label) means that step and every later step in the ladder. The order comes from .step, not alphabetical sorting. It is a reporting order, not a universal ranking of every fictional choice.
total = d(6) + d(6)
bands = scale().step("GM outcome").step("Bargain").step("Threat avoided")
result = bucket(total, bands, [6, 9])
rows = [("Exactly the middle band", result.pmf("Bargain")),
("Seven or more", result.p_at_least("Bargain")),
("Ten or more", result.pmf("Threat avoided"))]
output("Different outcome questions", prob_table(rows))
Different outcome questions · Table
| outcome | % | frac | X |
|---|---|---|---|
| Exactly the middle band | 41.7 | 5/12 | 0.417 |
| Seven or more | 58.3 | 7/12 | 0.583 |
| Ten or more | 16.7 | 1/6 | 0.167 |
Run, read, and check
The rows are 15/36, 21/36, and 6/36. Seven or more includes both the middle and top bands. Cut points [6, 9] mean the first band ends at 6 and the second at 9; everything higher goes to the last band.
Change one thing
Add +2 to the total. Exactly middle stays 15/36; seven or more becomes 30/36; ten or more becomes 15/36.
Try it yourself
Write a query for exactly the lowest band, then explain the complement of seven or more. Answer: result.pmf("GM outcome") is 15/36, and 1 − 21/36 agrees. Do not add all three displayed rows: they overlap.
Rules and model notes
Dungeon World SRD, Defy Danger. This models outcome bands, not the GM’s choice or the fiction. A 6− leaves what happens to the GM; 7–9 is a worse outcome, hard bargain, or ugly choice, not universally a completed success.
What you now know / where next
Exactly this outcome, or this good or better? is the reusable idea. Follow the generated previous/next links below, or return to the course index. For a complete self-contained application, see dungeon-world-defy-danger.
Content ID: L10 · Review status: pilot
Prerequisites: L09